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Finding the Third Proportional to 411,004 and 613,734

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Solution

The third proportional to 411,004 and 613,734 is: 916,461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,004 : 613,734 = 613,734 : x
  2. Step 2: Convert to fraction form
    411,004/613,734 = 613,734/x
  3. Step 3: Cross multiply
    411,004x = 613,734 × 613,734
  4. Step 4: Simplify right side
    411,004x = 376,669,422,756
  5. Step 5: Solve for x
    x = 376,669,422,756/411,004
  6. Step 6: Final answer
    x = 916,461.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.